Coupled Partial Differential Equations for Vessel Enhancement

In this paper, a new nonlinear partial differential equations (PDEs) model is presented to enhance the local coherence of vascular structures on 2D images. The proposed model couples shock filter and crease enhancement diffusion (CED) filter which uses the crease measurement to depict vascular structure. The experiments with synthetic and real images show this filter outperforms the shock filter and CED filter.